AxisAlgebra.u32_eq: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend as AxisAlgebra
Lines 45-49 of bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend&start_line=45&end_line=49

import Base
import bendtorch-core@0.1.0.0/src/storage/arith.bend as Arith

def u32_eq(+a: U32, +b: U32) -> {U32.is_eq(a, b) == Nat.is_eq(U32.to_nat(a), U32.to_nat(b)) : Bool}:
  match a b:
    case U32{+x} U32{+y}:
      Equal.sym(Bool, Cmp.is_eq(Nat.cmp(Word.to_nat(32n, x), Word.to_nat(32n, y))), Cmp.is_eq(Word.cmp(32n, x, y)),
        Equal.cong(Cmp, Bool, Cmp.is_eq, Nat.cmp(Word.to_nat(32n, x), Word.to_nat(32n, y)), Word.cmp(32n, x, y), Arith.word_cmp(32n, x, y)))

Uses (13):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Cmp.is_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.is_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.to_nat
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/arith.bend&name=word_cmp